My case is that, to install an Edge extension, and make it available for all the users. But, the extension I installed is not visible to other user. Is there any setting to configured it for all users(local account)?
You can try out provisioned apps, which can help you automatically install the extension for new users.
See "Sideload the app for all users" section in https://technet.microsoft.com/en-us/windows/jj874388.aspx for more details.